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Finding the Third Proportional to 455,438 and 973,934

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Solution

The third proportional to 455,438 and 973,934 is: 2,082,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,438 : 973,934 = 973,934 : x
  2. Step 2: Convert to fraction form
    455,438/973,934 = 973,934/x
  3. Step 3: Cross multiply
    455,438x = 973,934 × 973,934
  4. Step 4: Simplify right side
    455,438x = 948,547,436,356
  5. Step 5: Solve for x
    x = 948,547,436,356/455,438
  6. Step 6: Final answer
    x = 2,082,714.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.